Least Common Multiple of 16211 and 16216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 16211 and 16216 the smallest integer that is 262877576 that is divisible by both numbers.

Least Common Multiple (LCM) of 16211 and 16216 is 262877576.

LCM(16211,16216) = 262877576

LCM of 16211 and 16216

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 16211 and 16216

LCM of 16211 and 16216 is 262877576

Least common multiple can be found by multiplying the highest exponent prime factors of 16211 and 16216. First we will calculate the prime factors of 16211 and 16216.

Prime Factorization of 16211


13 16211
29 1247
43 43
1

Prime factors of 16211 are 13, 29,43. Prime factorization of 16211 in exponential form is:

16211 = 131×291×431

Prime Factorization of 16216


2 16216
2 8108
2 4054
2027 2027
1

Prime factors of 16216 are 2,2027. Prime factorization of 16216 in exponential form is:

16216 = 23×20271

Now multiplying the highest exponent prime factors to calculate the LCM of 16211 and 16216.

LCM(16211,16216) = 23×131×291×431×20271
LCM(16211,16216) = 262877576

Factors of 16211

List of positive integer factors of 16211 that divides 16211 without a remainder.

1, 13, 29, 43, 377, 559, 1247, 16211

Factors of 16216

List of positive integer factors of 16216 that divides 16216 without a remainder.

1, 2, 4, 8, 2027, 4054, 8108, 16216

Least Common Multiple of 16211 and 16216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16211 and 16216, than apply into the LCM equation.

GCF(16211,16216) = 1
LCM(16211,16216) = ( 16211 × 16216) / 1
LCM(16211,16216) = 262877576 / 1
LCM(16211,16216) = 262877576

Properties of LCM 16211 and 16216

(i) The LCM of 16216 and 16211 is associative

LCM of 16211 and 16216 = LCM of 16216 and 16211

Related Least Common Multiples of 16211

Related Least Common Multiples of 16216

Frequently Asked Questions on LCM of 16211 and 16216

1. What is the LCM of 16211 and 16216?

Answer: LCM of 16211 and 16216 is 262877576.

2. What are the Factors of 16211?

Answer: Factors of 16211 are 1, 13, 29, 43, 377, 559, 1247, 16211. There are 8 integers that are factors of 16211. The greatest factor of 16211 is 16211.

3. What are the Factors of 16216?

Answer: Factors of 16216 are 1, 2, 4, 8, 2027, 4054, 8108, 16216. There are 8 integers that are factors of 16216. The greatest factor of 16216 is 16216.

4. How to Find the LCM of 16211 and 16216?

Answer:

Least Common Multiple of 16211 and 16216 = 262877576

Step 1: Find the prime factorization of 16211

16211 = 13 x 29 x 43

Step 2: Find the prime factorization of 16216

16216 = 2 x 2 x 2 x 2027

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 262877576 = 2 x 2 x 2 x 13 x 29 x 43 x 2027

Step 4: Therefore, the least common multiple of 16211 and 16216 is 262877576.